1101332010240 has 1728 divisors, whose sum is σ = 4959462703104. Its totient is φ = 220796928000.

The previous prime is 1101332010221. The next prime is 1101332010253. The reversal of 1101332010240 is 420102331011.

1101332010240 is a `hidden beast` number, since 1 + 101 + 3 + 320 + 1 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3327286875 + ... + 3327287205.

Almost surely, 2^{1101332010240} is an apocalyptic number.

1101332010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101332010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479731351552).

1101332010240 is an abundant number, since it is smaller than the sum of its proper divisors (3858130692864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1101332010240 is a wasteful number, since it uses less digits than its factorization.

1101332010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1101332010240 its reverse (420102331011), we get a palindrome (1521434341251).

The spelling of 1101332010240 in words is "one trillion, one hundred one billion, three hundred thirty-two million, ten thousand, two hundred forty".